Skip to main content
Log in

Polarization response explored by joint Hamiltonian and stochastic approach

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

The effect of thermal fluctuations on systems modeled by anharmonic nonconservative Hamiltonians is investigated in the framework of interacting lattice cells each cell obeying to Langevin dynamics. Representative examples addressed to critical phenomena in ferroelectrics include polarization response of a single lattice cell, ergodicity breaking, and birth of a domain, and the effect of nonlocal electroelastic interaction all derived combining the Fokker–Planck, imaginary time Schrödinger, and symplectic integration techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C.P. De Araujo, J.F. Scott, G.W. Taylor, Ferroelectric Thin Films: Synthesis and Basic Properties (Ferroelectricity and Related Phenomena) (Gordon and Breach, New York, 1996)

    Google Scholar 

  2. P. Chandra, P.B. Littlewood, arXiv:cond-mat/0609347 (2006)

  3. N. Watanabe, M. Tsukada, Phys. Rev. E 62, 2914 (2000)

    Article  ADS  Google Scholar 

  4. S.A. Chin, arXiv:cond-mat/0312021v1 (2003)

  5. P. Talkner, New J. Phys. 1, 4.1–4.25 (1999)

    Article  Google Scholar 

  6. A. Kuznetsov, A. Bely, Latv. J. Phys. Tech. Sci. 4, 25 (2006)

    Google Scholar 

  7. P. Talkner, L. Machura, M. Schindler, P. Hängi, J. Luczka, New J. Phys. 7, 14 (2005)

    Article  Google Scholar 

  8. B. Caroli, C. Caroli, B. Roulet, J. Stat. Phys. 21(4), 415–437 (1979)

    Article  ADS  Google Scholar 

  9. A. Bunde, J.-F. Goyet, Z. Phys. B, Condens. Matter 42, 169–181 (1981)

    Article  ADS  Google Scholar 

  10. M. Shiino, Phys. Rev. A 36(5), 2393–2412 (1986)

    Article  ADS  Google Scholar 

  11. N.G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam, 1981) ISBN:0-444-89349-0

    MATH  Google Scholar 

  12. A.E. Allaverdyan, R. Balian, T.N. Nieuwenhuizen, arXiv:quant-ph/0508162 (2005)

  13. E. Klotins, Eur. Phys. J. B 50, 315–320 (2006)

    Article  ADS  Google Scholar 

  14. Y.L. Li, S.Y. Hu, Z.K. Liu, L.Q. Chen, Acta Mater. 50, 395–411 (2002)

    Article  Google Scholar 

  15. R.E. Cohen, Nature 358, 136 (1992)

    Article  ADS  Google Scholar 

  16. R. Krechmer, K. Binder, Phys. Rev. B 20, 1065 (1979)

    Article  ADS  Google Scholar 

  17. P. Chandra, P.B. Littlewood, arXiv:cond-mat/0609347 (2006)

  18. E. Klotins, Physica E 29, 237–242 (2005)

    Article  ADS  Google Scholar 

  19. V.A. Zhirnov, Z. Eksp. Theor. Fiz. 35, 1175 (1958). Engl. transl., Sov. Phys. JETP 8, 822 (1959)

    Google Scholar 

  20. R. Ahluvalia, W. Cao, Phys. Rev. B 63, 012103-1 (2000)

    ADS  Google Scholar 

  21. S. Nambu, A. Sagala, Phys. Rev. B 50, 5838 (1994)

    Article  ADS  Google Scholar 

  22. A.G. Khachaturyan, Theory of Structural Transformations in Solids (Wiley, New York, 1983)

    Google Scholar 

  23. N. Sai, K.M. Rabe, D. Vanderbilt, Phys. Rev. B 66, 104108 (2002)

    Article  ADS  Google Scholar 

  24. R.D. King-Smith, D. Vanderbilt, Phys. Rev. B 49, 5829 (1994)

    Article  ADS  Google Scholar 

  25. S. Baroni, S. de Gironcoli, A.D. Corso, P. Giannozzi, Rev. Mod. Phys. 73, 515 (2001)

    Article  ADS  Google Scholar 

  26. S. Tinte, J. Inguez, K.M. Rabbe, D. Vanderbilt, Phys. Rev. B 67, 064106 (2003)

    Article  ADS  Google Scholar 

  27. W. Zhong, D. Vanderbilt, Phys. Rev. B 52, 6301 (1995)

    Article  ADS  Google Scholar 

  28. T. Nishimatsu, U.V. Waghmare, Y. Kawazoe, D. Vanderbilt, arXiv:0804.1853v2 (2008)

  29. E. Klotins, A. Kuznetsov, Ferroelectrics (2009, accepted)

  30. W. Zong, D. Vanderbilt, K.M. Rabe, Phys. Rev. Lett. 73, 1861 (1994)

    Article  ADS  Google Scholar 

  31. E. Klotins, A. Kuznetsov, Integr. Ferroelectr. 102, 1–17 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Klotins.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klotins, E., Kuznetsov, A. & Bely, A. Polarization response explored by joint Hamiltonian and stochastic approach. Appl. Phys. A 96, 549–555 (2009). https://doi.org/10.1007/s00339-008-5053-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00339-008-5053-6

PACS

Navigation